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3193408 = 26411217
BaseRepresentation
bin1100001011101001000000
320000020112101
430023221000
51304142113
6152240144
736100141
oct14135100
96006471
103193408
111891289
1210a0054
1387a6ba
145d1ac8
154312dd
hex30ba40

3193408 has 28 divisors (see below), whose sum is σ = 6496812. Its totient is φ = 1556480.

The previous prime is 3193397. The next prime is 3193423. The reversal of 3193408 is 8043913.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 2663424 = 728^2 + 1632^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2016 + ... + 3232.

It is an arithmetic number, because the mean of its divisors is an integer number (232029).

Almost surely, 23193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248406).

3193408 is an abundant number, since it is smaller than the sum of its proper divisors (3303404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3193408 is a wasteful number, since it uses less digits than its factorization.

3193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3193408 is about 1787.0109121099. The cubic root of 3193408 is about 147.2600023184.

It can be divided in two parts, 31 and 93408, that added together give a palindrome (93439).

The spelling of 3193408 in words is "three million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1217 1312 2434 2624 4868 9736 19472 38944 49897 77888 99794 199588 399176 798352 1596704 3193408